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arXiv · 2105.07297

Generalized Turán results for intersecting cliques

Dániel Gerbner·Balázs Patkós
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Abstract

For fixed graphs $F$ and $H$, the generalized Turán problem asks for the maximum number $ex(n,H,F)$ of copies of $H$ that an $n$-vertex $F$-free graph can have. In this paper, we focus on cases with $F$ being $B_{r,s}$, the graph consisting of two cliques of size $s$ sharing $r$ common vertices. We determine $ex(n,K_t,B_{r,0})$, $ex(n,K_t,B_{r,1})$ and $ex(n,K_{a,b},B_{3,1})$ for all values of $a,b,r,t$ if $n$ is large enough.

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Dániel Gerbner, Balázs Patkós. 2022-02-05. Generalized Turán results for intersecting cliques. https://arxiv.org/abs/2105.07297

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